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Finding the Fourth Proportional to 3,937.02, 5,906.07 and 1,745.70

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Solution

The fourth proportional to 3,937.02, 5,906.07 and 1,745.70 is: 2,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.02 : 5,906.07 = 1,745.70 : x
  2. Step 2: Convert to fraction form
    3,937.02/5,906.07 = 1,745.70/x
  3. Step 3: Cross multiply
    3,937.02x = 5,906.07 × 1,745.70
  4. Step 4: Simplify right side
    3,937.02x = 10,310,226.40
  5. Step 5: Solve for x
    x = 10,310,226.40/3,937.02
  6. Step 6: Final answer
    x = 2,618.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.